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Exactly solvable models in the theory of irreversible reactions in liquids

Author

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  • Kipriyanov, A.A.
  • Gopich, I.V.
  • Doktorov, A.B.

Abstract

Exact kinetic equations defining the A + B → B reaction in liquid solutions are obtained on the basis of a many-particle approach and the notion of point-reacting particles with remote reactivity. For any initial correlations in the system of reactants, the calculation of many-particle kinetics is shown to reduce to the calculation of survival probability of one particle A in the ensemble of particles B. In the context of the most general model the exact equations in the thermodynamic limit are obtained. The equations define the process which develops from two classes of initial correlations: those of the same type corresponding to the reactions in the bulk, and polytypic correlations corresponding to the reactions in non-isolated geminate pairs.

Suggested Citation

  • Kipriyanov, A.A. & Gopich, I.V. & Doktorov, A.B., 1994. "Exactly solvable models in the theory of irreversible reactions in liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 585-622.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:4:p:585-622
    DOI: 10.1016/0378-4371(94)90223-2
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    Cited by:

    1. Kipriyanov, A.A. & Doktorov, A.B., 1996. "T-matrix representation and long time behavior of observables in the theory of migration-influenced irreversible reactions in liquid solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 75-117.

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